Aradar system is used to track a new experimental space launch vehicle. early in the vehicle’s flight trajectory, the azimuth angle β is increasing with the constant rate dβ/dt = 26°/s. the elevation angle γ is increasing at the rate dγ/dt = 40°/s, and this rate is increasing at 5°/s2. know that the distance between o and p is 2 m and that at this instant β = 0° and γ = 30°.

On solidification from a melt, the polymer polyethylene forms a semi-crystalline spherulite structure. (i) sketch an individual spherulite and label the amorphous and crystalline regions. (ii) draw a schematic to show the changes in specific volume with temperature during cooling from the melt, comparing it to the theoretical extremes of fully crystalline and fully amorphous (indicate tm and tg)

Aparticle moves along a straight line such that its acceleration is a=(4t^2-2) m/s, where t is in seconds. when t = 0, the particle is located 2 m to the left of the origin, and when t = 2, it is 20 m to the left of the origin. determine the position of the particle when t=4s.

Air in a piston-cylinder is at 30°c, 100 kpa and 50% relative humidity. the air is compressed to 150 kpa in an isothermal process. the relative humidity in the final state is